Kahler Normal Coordinate Expansion in Supersymmetric Theories

Abstract

The Riemann normal coordinate expansion method is generalized to a Kahler manifold. The Kahler potential and holomorphic coordinate transformations are used to define a normal coordinate preserving the complex structure. The existence of this Kahler normal coordinate is shown explicitly to all orders. The formalism is applied to background field methods in supersymmetric nonlinear sigma models.

LaTeX, 23 pages, no figures, published version

References in corpus (3)

• A Closed Formula for the Riemann Normal Coordinate Expansion
• Auxiliary Field Formulation of Supersymmetric Nonlinear Sigma Models
• Geometry and the Low-Energy Theorem in N=1 Supersymmetric Theories

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